Conclude the test. choose one: At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. b) Interpret the results. choose one:
For one binomial experiment, n1 = 75 binomial trials produced
r1 = 45 successes. For a second independent binomial experiment,
n2 = 100 binomial trials produced r2 = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.
a) Conclude the test. choose one:
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
b) Interpret the results. choose one:
-Reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.
-Fail to reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.
-Reject the null hypothesis, there is insufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.
-Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomial experiments differ.
Given that
For first binomial experiment
Sample size n1 = 75, Number of successes r1 = 45
For second binomial experiment
Sample size n2 = 100, Number of successes r2 = 65
Level of significance = 5% = 0.05
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